Geodesic
Compactness of Complete Mappings and Its Connections with Various Kinds of Nonconnectednesses of Continuous Mappings
Matematičeskie trudy, Tome 8 (2005) no. 2, pp. 184-198 
D. K. Musaev. Compactness of Complete Mappings and Its Connections with Various Kinds of Nonconnectednesses of Continuous Mappings. Matematičeskie trudy, Tome 8 (2005) no. 2, pp. 184-198. http://geodesic.mathdoc.fr/item/MT_2005_8_2_a6/
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     title = {Compactness of {Complete} {Mappings} and {Its} {Connections} with {Various} {Kinds} of {Nonconnectednesses} of {Continuous} {Mappings}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We give some necessary and sufficient conditions for compactness of tubularly (weakly) $\Pi$-complete and (weakly) $\Pi$-complete mappings that generalize compact mappings in the class of Tychonoff mappings and still have many important properties of compact mappings. We study the relationship between complete mappings and various types of nonconnectednesses of continuous mappings.

[1] Vainshtein I. A., “O zamknutykh otobrazheniyakh metricheskikh prostranstv”, Dokl. AN SSSR, 57 (1947), 319–321 | MR | Zbl

[2] Ilina N. I., “Postroenie rasshirenii $\beta f$ i $\nu f$ nepreryvnogo otobrazheniya $f$ pri pomoschi ultrafiltrov”, Geometriya pogruzhennykh mnogoobrazii, Mezhvuz. sb. nauch. tr., Prometei, M., 1989, 105–114

[3] Krolevets N., “O lokalno sovershennykh otobrazheniyakh”, Dokl. AN SSSR, 175 (1967), 1008–1011 | MR | Zbl

[4] Matveev V. A., “Ob otdelimykh bikompaktifikatsiyakh otobrazhenii”, Vestnik MGU. Ser. mat. i mekh., 1988, no. 1, 94–96

[5] Matveev V. A., Ulyanov V. N., “O $T$-bikompaktifikatsiyakh otobrazhenii”, Uspekhi mat. nauk, 37:2 (1982), 211–212 | MR

[6] Musaev D. K., “(O-S)-otobrazheniya superparakompaktov”, Dokl. AN UzSSR, 1987, no. 5, 14–16

[7] Musaev D. K., “O kharakterizatsii polnykh otobrazhenii posredstvom morfizmov v nulmernye”, Mat. trudy, 7:2 (2004), 72–97 | MR

[8] Musaev D. K., Pasynkov B. A., O svoistvakh kompaktnosti i polnoty topologicheskikh prostranstv i nepreryvnykh otobrazhenii, FAN, Tashkent, 1994

[9] Norin V. P., “O razmernosti narostov otobrazhenii”, Vestnik MGU. Ser. mat. i mekh., 1982, no. 5, 17–21

[10] Pasynkov B. A., “Chastichnye topologicheskie proizvedeniya”, Tr. Mosk. mat. o-va, 13, 1965, 136–245 | MR

[11] Pasynkov B. A., “O rasprostranenii na otobrazheniya nekotorykh ponyatii i utverzhdenii, kasayuschikhsya prostranstv”, Otobrazheniya i funktory, Izd-vo MGU, M., 1984, 72–102

[12] Pasynkov B. A., “O popolneniyakh otobrazhenii”, Geometriya pogruzhennykh mnogoobrazii, Mezhvuz. sb. nauch. tr., Prometei, M., 1989, 131–136 | MR

[13] Ponomarev V. I., “O zvezdno-konechnykh pokrytiyakh i otkryto-zamknutykh mnozhestvakh”, Dokl. AN SSSR, 186:5 (1969), 1016–1019 | MR | Zbl

[14] Ulyanov V. M., “O bikompaktnykh rasshireniyakh schetnogo kharaktera i absolyutakh”, Mat. sb., 98:2 (1975), 223–254 | Zbl

[15] Fedorchuk V. V., Filippov V. V., Obschaya topologiya. Osnovnye konstruktsii, Izd-vo MGU, M., 1988 | MR

[16] Engelking R., Obschaya topologiya, Mir, M., 1986

[17] Cain G. L. (Jr.), “Compactifications of mappings”, Proc. Amer. Math. Soc., 23:2 (1969), 298–303 | DOI | MR | Zbl

[18] Sostak A. P., “On a class of topological spaces containing all bicompact and all connected spaces”, Topology and Its Relations to Modern Analysis and Algebra, Proc. 4th Prague Topol. Symp. (1976, Part B), Prague, 1977, 445–451 | MR | Zbl

[19] Whyburn G. T., “Compactification of mappings”, Math. Ann., 166:1 (1966), 168–174 | DOI | MR | Zbl